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Finding the Fourth Proportional to 3,246.86, 4,478.82 and 2,253

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Solution

The fourth proportional to 3,246.86, 4,478.82 and 2,253 is: 3,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.86 : 4,478.82 = 2,253 : x
  2. Step 2: Convert to fraction form
    3,246.86/4,478.82 = 2,253/x
  3. Step 3: Cross multiply
    3,246.86x = 4,478.82 × 2,253
  4. Step 4: Simplify right side
    3,246.86x = 10,090,781.46
  5. Step 5: Solve for x
    x = 10,090,781.46/3,246.86
  6. Step 6: Final answer
    x = 3,107.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.